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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 30960.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30960.bu1 | 30960bz1 | \([0, 0, 0, -1152, -20304]\) | \(-56623104/26875\) | \(-80248320000\) | \([]\) | \(18432\) | \(0.79824\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30960.bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30960.bu do not have complex multiplication.Modular form 30960.2.a.bu
sage: E.q_eigenform(10)